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323142004400 = 24521773650971
BaseRepresentation
bin1001011001111001100…
…00111010111010110000
31010220002022200122202012
410230330300322322300
520243243323120100
6404241022342052
732226521501045
oct4547460727260
91126068618665
10323142004400
11115053267776
125276372a928
132461a44a537
14118d68371cc
1586141be135
hex4b3cc3aeb0

323142004400 has 120 divisors (see below), whose sum is σ = 833278010544. Its totient is φ = 119986790400.

The previous prime is 323142004391. The next prime is 323142004439. The reversal of 323142004400 is 4400241323.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170915 + ... + 821885.

Almost surely, 2323142004400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323142004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416639005272).

323142004400 is an abundant number, since it is smaller than the sum of its proper divisors (510136006144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323142004400 is a wasteful number, since it uses less digits than its factorization.

323142004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651079 (or 651068 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 323142004400 its reverse (4400241323), we get a palindrome (327542245723).

The spelling of 323142004400 in words is "three hundred twenty-three billion, one hundred forty-two million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 73 80 85 100 136 146 170 200 272 292 340 365 400 425 584 680 730 850 1168 1241 1360 1460 1700 1825 2482 2920 3400 3650 4964 5840 6205 6800 7300 9928 12410 14600 19856 24820 29200 31025 49640 62050 99280 124100 248200 496400 650971 1301942 2603884 3254855 5207768 6509710 10415536 11066507 13019420 16274275 22133014 26038840 32548550 44266028 47520883 52077680 55332535 65097100 88532056 95041766 110665070 130194200 177064112 190083532 221330140 237604415 260388400 276662675 380167064 442660280 475208830 553325350 760334128 807855011 885320560 950417660 1106650700 1188022075 1615710022 1900835320 2213301400 2376044150 3231420044 3801670640 4039275055 4426602800 4752088300 6462840088 8078550110 9504176600 12925680176 16157100220 19008353200 20196375275 32314200440 40392750550 64628400880 80785501100 161571002200 323142004400